User Account

All Pages

Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Char, how many bytes required to char

how many bytes required to char

Input and output in c++, C++ improves on many of C's features and provides ...

C++ improves on many of C's features and provides object-oriented programming capabilities used for software production, quality and reusability. C++ was developed by Bjarne Strons

File, how i can open a file

how i can open a file

Basic coding syntax errors, I have a program for school and I am not unders...

I have a program for school and I am not understanding why one of the variables gets skipped or the arithmetic operators aren''t having any effect as I have tryed defining it sever

Explain the array types, Array types An array is a collection of object...

Array types An array is a collection of objects of a one data type. The individual objects are accessed by their position in the array. This way of accessing is known as indexi

Pseudocode , Record separation problem Let us assume that a particular data...

Record separation problem Let us assume that a particular database program manages a simple mailing list which consists of one record for each person on the list, and a number of f

Maths, .Write a program to find the area under the curve y = f(x) between x...

.Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b.

Lexicographic permutation, Given an integer n and a permutation of numbers ...

Given an integer n and a permutation of numbers 1, 2 ... , n-1, n write a program to print the permutation that lexicographically precedes the given input permutation. If the given

Assignment, (RationalNumber Class) A rational number is a number that can b...

(RationalNumber Class) A rational number is a number that can be represented as the quotient of two integers. For example, 1/3, 5/7, 7/2, and so forth are rational numbers (By 2/1

Create three classes program in cpp, In this worksheet you are asked to wri...

In this worksheet you are asked to write three classes in C++: Lecture class, Course class and University class. The classes relate to each other in the way that a Course has many

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd